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Simplifying 3(w + -6) + -3 = -3(-4w + 9) + -1w Reorder the terms: 3(-6 + w) + -3 = -3(-4w + 9) + -1w (-6 * 3 + w * 3) + -3 = -3(-4w + 9) + -1w (-18 + 3w) + -3 = -3(-4w + 9) + -1w Reorder the terms: -18 + -3 + 3w = -3(-4w + 9) + -1w Combine like terms: -18 + -3 = -21 -21 + 3w = -3(-4w + 9) + -1w Reorder the terms: -21 + 3w = -3(9 + -4w) + -1w -21 + 3w = (9 * -3 + -4w * -3) + -1w -21 + 3w = (-27 + 12w) + -1w Combine like terms: 12w + -1w = 11w -21 + 3w = -27 + 11w Solving -21 + 3w = -27 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -21 + 3w + -11w = -27 + 11w + -11w Combine like terms: 3w + -11w = -8w -21 + -8w = -27 + 11w + -11w Combine like terms: 11w + -11w = 0 -21 + -8w = -27 + 0 -21 + -8w = -27 Add '21' to each side of the equation. -21 + 21 + -8w = -27 + 21 Combine like terms: -21 + 21 = 0 0 + -8w = -27 + 21 -8w = -27 + 21 Combine like terms: -27 + 21 = -6 -8w = -6 Divide each side by '-8'. w = 0.75 Simplifying w = 0.75
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